{
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Low-Rank Matrix Completion\n",
    "\n",
    "**Published**: September 18, 2019\n",
    "\n",
    "**Author**: Xinyu Chen [[**GitHub homepage**](https://github.com/xinychen)]\n",
    "\n",
    "**Download**: This Jupyter notebook is at our GitHub repository. If you want to evaluate the code, please download the notebook from the repository of [**tensor-learning**](https://github.com/xinychen/tensor-learning/blob/master/content/LRMC.ipynb)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "--------------------\n",
    "\n",
    "If you search **matrix completion** as a keyword on [**wiki**](https://en.wikipedia.org/wiki/Matrix_completion), you might see the following explaination for this concept:\n",
    "\n",
    "> Matrix completion is the task of filling in the missing entries of a partially observed matrix. A wide range of datasets are naturally organized in matrix form.\n",
    "\n",
    "From this brief explaination, we could on the one hand see that the matrix completion task requires us to use a mainfold of approaches to impute the missing values for a given matrix which is partially observed. On the other hand, it seems that there are tremendous real-world datasets organized in matrix form, and this means that you have an access to solve real-world missing data problems using matrix completion techniques.\n",
    "\n",
    "**About this chapter**: This chapter does not intend to give a thorough review of low-rank matrix completion, but rather to highlight the basic idea of low-rank matrix completion, and to provide an overview of the key matrix completion techniques that have been successfully used. We direct the interested reader to the more focused references that are provided throughout the chapter.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Motivation: Low-Rank Matrix Completion and Recovery"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data incompleteness problem appears often in machine learning. If you want to fully understand the matrix completion, then the following applications may be helpful:\n",
    "\n",
    "- Recommender systems\n",
    "- Image inpainting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Recommender Systems"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A strong motivation for the matrix completion in recommender systems comes from user ratings of some items like products, movies, or musics which are put into a matrix $\\boldsymbol{X}\\in\\mathbb{R}^{m\\times n}$. The entries $x_{ij},\\forall i\\in\\left\\{1,...,m\\right\\},j\\in\\left\\{1,...,n\\right\\}$ of the matrix correspond to the $i$-th user's rating of item $j$.\n",
    "\n",
    "**A simple example**: In Figure 1, the question is how to predict unobserved entries of the matrix according to the limited observations.\n",
    "\n",
    "![user_ratings_on_movies](../images/user_ratings_on_movies.png)\n",
    "> Figure 1: User ratings of some movies are naturally organized in matrix form, where the matrix has some unobserved entries (i.e., unseen user ratings). Note that this figure is from http://www.princeton.edu/~yc5/ele538b_sparsity/lectures/matrix_recovery.pdf.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Image Inpainting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "According to the definition on [**wiki**](https://en.wikipedia.org/wiki/Inpainting), inpainting is the process of reconstructing lost or deteriorated parts of images and videos. For the image inpainting task which involves with missing data, we should first review the image data representation.\n",
    "\n",
    "In general, each image simply consists of three color channels: Red (R), Blue (B), and Green (G) that form the RGB color image. Therefore, color images can be stored in a third-order tensor with dimensions as (width, height, channels). Formally, we could represent a color image by using a tensor like $\\boldsymbol{\\mathcal{Y}}\\in\\mathbb{R}^{m\\times n\\times 3}$, in which $3$ is used to indicate RGB and any $(i,j)$-th pixel is denoted by the vector $\\left[y_{ij1},y_{ij2},y_{ij3}\\right]^\\top$.\n",
    "\n",
    "On the other hand, we could also convert a color image to a grey image, and then, any matrix $\\boldsymbol{Y}\\in\\mathbb{R}^{m\\times n\\times 3}$ can be used to represent the pixels of a grey image. Below is a color image which is originally stored in a third-order tensor, and we load an image as grayscale using `imageio`.\n",
    "\n",
    "![lena](../images/lena.bmp)\n",
    "> Figure 2: An image from https://raw.githubusercontent.com/qbzhao/BCPF/master/TestImages/lena.bmp.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> `Imageio` is a Python library that provides an easy interface to read and write a wide range of image data, including animated images, volumetric data, and scientific formats. It is cross-platform, runs on Python 2.7 and 3.4+, and is easy to install.\n",
    "\n",
    "> Main website: http://imageio.github.io"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The shape of the image is (256, 256).\n"
     ]
    },
    {
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\n",
      "text/plain": [
       "<Figure size 576x1080 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import imageio\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "lena = imageio.imread('../images/lena.bmp', as_gray = True)\n",
    "print('The shape of the image is {}.'.format(lena.shape))\n",
    "\n",
    "dim1, dim2 = lena.shape\n",
    "mask = np.round(np.random.rand(dim1, dim2))  # Generate a binary mask.\n",
    "sparse_lena = np.multiply(lena, mask)\n",
    "\n",
    "plt.subplots(1, 2, figsize=(8,15))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.imshow(lena)\n",
    "plt.title('The original Lena')\n",
    "plt.axis('off')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.imshow(sparse_lena)\n",
    "plt.title('The incomplete Lena')\n",
    "plt.axis(\"off\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Matrix completion problem description**: Suppose we observe partial entries of a matrix $\\boldsymbol{Y}\\in\\mathbb{R}^{m\\times n}$, indexed by the set $\\Omega$. Then, the goal is to recover missing (or unobserved) entries in $\\boldsymbol{Y}$.\n",
    "\n",
    "It is not hard to understand the matrix completion problem if you see the following example:\n",
    "\n",
    "> Suppose that we have a matrix like $\\boldsymbol{Y}=\\left[\\begin{array}{ll}{2} & {\\color{red}{?}} \\\\ {\\color{red}{?}} & {4}\\end{array}\\right] \\in \\mathbb{R}^{2 \\times 2}$, which is obviously a partially observed matrix. The observed entries of $\\boldsymbol{Y}$ are indicated by the set $\\Omega=\\left\\{\\color{red}{(1,1),(2,2)}\\right\\}$. Then, applying the matrix completion technique, our final goal is to find a matrix like $\\boldsymbol{X}=\\left[\\begin{array}{ll}{2} & {\\color{red}{8}} \\\\ {\\color{red}{1}} & {4}\\end{array}\\right] \\in \\mathbb{R}^{2 \\times 2}$ that acts as the recovered matrix.\n"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Low-Rank Matrix Completion"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Basic Formulation for Matrix Completion\n",
    "\n",
    "To ease the reader's journey, there are two steps towards understanding the basic idea of the matrix completion techniques. The first is from the view of data noise. Indeed, the matrix completion for data without noise implies that the recovered matrix $\\boldsymbol{X}$ has absolutely same entries on $\\Omega$ as the original matrix $\\boldsymbol{Y}$. It means that\n",
    "$$\\boldsymbol{X}_{\\Omega}=\\boldsymbol{Y}_{\\Omega}.~~~~~~~~~~\\text{(1)}$$\n",
    "\n",
    "> For example, if we have a partially observed matrix $\\boldsymbol{Y}\\in\\mathbb{R}^{2\\times 2}$ like $$\\boldsymbol{Y}=\\left[\\begin{array}{cc}y_{11} & \\text{?} \\\\ \\text{?} & y_{22} \\\\ \\end{array}\\right],$$ then, the recovered matrix $\\boldsymbol{X}\\in\\mathbb{R}^{2\\times 2}$ must satisfy $$\\left\\{\\begin{array}{l}x_{11}=y_{11}, \\\\x_{22}=y_{22}. \\\\ \\end{array}\\right.$$\n",
    "\n",
    "Then, the idea of the matrix completion is rank minimization. We assume that $\\boldsymbol{X}$ is a low-rank matrix and write the matrix completion via rank minimization as\n",
    "$$\\begin{array}{ll} \\min_{\\boldsymbol{X}} & \\text{rank}\\left(\\boldsymbol{X}\\right)\\\\\n",
    "\\text{s.t.} & \\boldsymbol{X}_{\\Omega}=\\boldsymbol{Y}_{\\Omega}. \\\\ \\end{array}~~~~~~~~~~\\text{(2)}$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "More formally, Eq. (1) is written in another form:\n",
    "$$\\begin{array}{ll} \\min_{\\boldsymbol{X}} & \\text{rank}\\left(\\boldsymbol{X}\\right)\\\\\n",
    "\\text{s.t.} & \\mathcal{P}_{\\Omega}\\left(\\boldsymbol{X}\\right)=\\mathcal{P}_{\\Omega}\\left(\\boldsymbol{Y}\\right). \\\\ \\end{array}$$\n",
    "where as $\\Omega$ stores the indices of the observed set, the operator $\\mathcal{P}_{\\Omega}:\\mathbb{R}^{m\\times n} \\mapsto \\mathbb{R}^{m\\times n}$ is introduced as an orthogonal projection onto subspace of matrices supported on $\\Omega$, namely,\n",
    "$$\\left[\\mathcal{P}_{\\Omega}\\left(\\boldsymbol{{X}}\\right)\\right]_{ij}=\\left\\{\n",
    "    \\begin{array}{ll}\n",
    "    x_{ij}, &\\text{if} \\left(i,j\\right)\\in\\Omega, \\\\\n",
    "    0, & \\text{otherwise}.\n",
    "    \\end{array}\\right.$$\n",
    "\n",
    "However, this formulation is not intuitive for our understanding. In the following, we will use the equation system mentioned in Eq. (2)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Convex Formulation for Matrix Completion\n",
    "\n",
    "The optimization problem in Eq. (2) is a nonconvex optimization problem since the objective function $\\text{rank}\\left(\\boldsymbol{X}\\right)$ is nonconvex. Fortunately, one common approach proved in the previous studies is to use the trace norm $\\left\\|\\boldsymbol{X}\\right\\|_{*}$ to approximate the rank of matrices. The advantage of the trace norm is that $\\left\\|\\boldsymbol{X}\\right\\|_{*}$ is the tightest convex envelop for the rank of matrices. This leads to the following convex optimization problem for the matrix completion in Eq. (2):\n",
    "\n",
    "$$\\begin{array}{ll} \\min_{\\boldsymbol{X}} & \\left\\|\\boldsymbol{X}\\right\\|_{*} \\\\\n",
    "\\text{s.t.} & \\boldsymbol{X}_{\\Omega}=\\boldsymbol{Y}_{\\Omega}. \\\\ \\end{array}~~~~~~~~~~\\text{(3)}$$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Before solving this optimization problem, we first learn about the concept of trace norm in ways that will help your understanding of matrix completion.\n",
    "\n",
    "**Definition 1.** For a $m\\times n$ matrix $\\boldsymbol{X}$, the trace norm of $\\boldsymbol{X}$ is defined as the sum of singular values, namely, $\\left\\|\\boldsymbol{X}\\right\\|_{*}=\\sum_{i}^{r}\\sigma_{i}$, and $r=\\text{rank}\\left(\\boldsymbol{X}\\right)$ and $\\sigma_{1} \\geq \\cdots \\geq \\sigma_{r} \\geq 0$ are singular values of $\\boldsymbol{X}$.\n",
    "\n",
    "> For example, for a given matrix like $\\boldsymbol{X}=\\left[\\begin{array}{cc}4 & 4 \\\\ -3 & 3 \\\\ \\end{array}\\right]$, the Singluar Value Decomposition (SVD) is $$\\boldsymbol{X}=\\boldsymbol{U}\\boldsymbol{\\Sigma}\\boldsymbol{V}^\\top=\\left[\\begin{array}{cc}{1} & {0} \\\\ {0} & {1}\\end{array}\\right]\\left[\\begin{array}{cc}{\\color{red}{4 \\sqrt{2}}} & {0} \\\\ {0} & {\\color{red}{3 \\sqrt{2}}}\\end{array}\\right]\\left[\\begin{array}{cc}{\\frac{\\sqrt{2}}{2}} & {\\frac{\\sqrt{2}}{2}} \\\\ {-\\frac{\\sqrt{2}}{2}} & {\\frac{\\sqrt{2}}{2}}\\end{array}\\right],$$\n",
    "where we could derive the sum of sigular values as $\\color{red}{7\\sqrt{2}}$ which is the trace norm of $\\boldsymbol{X}$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Proximal Gradient Descent\n",
    "\n",
    "In the matrix completion, the optimization problem is\n",
    "$$\\min_{\\boldsymbol{X}}~\\frac{1}{2}\\left\\|\\boldsymbol{Y}_{\\Omega}-\\boldsymbol{X}_{\\Omega}\\right\\|_{F}^{2}+\\rho\\left\\|\\boldsymbol{X}\\right\\|_{*},$$\n",
    "where the objective function includes two parts: $$\\left\\{\\begin{array}{l}g\\left(\\boldsymbol{X}\\right)=\\frac{1}{2}\\left\\|\\boldsymbol{Y}_{\\Omega}-\\boldsymbol{X}_{\\Omega}\\right\\|_{F}^{2}, \\\\ h\\left(\\boldsymbol{X}\\right)=\\left\\|\\boldsymbol{X}\\right\\|_{*}, \\end{array}\\right.$$\n",
    "and $g\\left(\\boldsymbol{X}\\right)$ is convex and differentiable while $h\\left(\\boldsymbol{X}\\right)$ is convex and not necessarily differentiable.\n",
    "\n",
    "For this type of optimization, we should introduce the proximal methods."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Solution to Matrix Completion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Experiments on Image Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Examine algorithms"
   ]
  }
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